On the dynamic behavior of honeycomb based composite solids
On the dynamic behavior of honeycomb based composite solids
复制标题
蜂窝基复合材料的动态行为
DOI：
10.1007/bf01268675
复制
发表时间：
2000
期刊：
影响因子：
2.7
通讯作者：
C. Wożniak
中科院分区：
文献类型：
--
作者：
E. Wierzbicki;C. Wożniak
本文的目的是双重的。首先，周期性的复合固体的分散模型制成的各向同性矩阵增强的六角系统的细长纤维或蜂窝状的细长骨架制定。其次，将该模型应用于上述蜂窝基复合材料中的振动和波传播问题的分析。与已知的均匀化模型相反，该模型的主要特点是它描述了单元尺寸对复合固体整体动态行为的影响。结果表明，蜂窝基复合材料在宏观上的响应是各向同性的。同时也证明了在复合材料中存在着色散型剪切波和色散型剪切波，它们可以在复合材料中传播。导出了较低和较高自由振动频率的简单公式，并表明了对物理允许波传播速度的某些限制。
SummaryThe aim of this contribution is twofold. First, a dispersive model of periodic composite solids made of an isotropic matrix reinforced by a hexagonal system of slender fibres or by a honeycomb-like slender skeleton is formulated. Second, this model is applied to the analysis of vibration and wave propagation problems in the above honeycomb based composites. Contrary to the known homogenized models the main feature of the proposed model is that it describes the effect of cell size on the overall dynamic behavior of a composite solid. It is shown that on the macro-level the response of honeycomb based composites is isotropic. It is also proved that there exist dispersive dilatational-type and shear-type waves, which can propagate in these composites. Simple formulae for lower and higher free vibration frequencies are derived, and the existence of certain restrictons imposed on the physically allowable wave propagation speeds is shown.